![]() ![]() The actual sign of rs and rp for normal incidence will be reversed if N1 and N2Īre interchanged ("internal" verses "external" reflection). Note that using the E-field vector sign convention above for the TM case, the reflection coefficients rs and rp are identical at normal incidence θ=0°. If the incident medium is lossy, it is not possible to define reflectance and transmittance values such that R + T = 1 due to field coupling in a lossy medium (MacLeod 1986). Where the expressions the 3 region single film are valid for both TE (s) and TM (p) polarizations, with the polarization differences encapsulated in the r12, r23, t12, t23 values. h is the thickness of the medium 2 layer in μm and λ is the vacuum wavelength in μm. kxi = k0*ni*cos(θi) where ni and θi may be complex in general, depending on the media and Kxi are the components of propagation constant, in μm-1 normal to the layers (x direction). Rs, Ts, Rp and Tp are the s and p reflectance and transmittance values. The Fresnel E-field amplitude reflection and transmission coefficients for the 2 region interfaces for s (TE) and p(TM) polarized light respectively. rs, rp, ts and tp are the E-field amplitude reflection and transmission coefficients for the film. Θ is the assumed real angle of incidence in medium 1. Heavens, "Optical Properties of Thin Solid Films", Dover 1965. These conventions correspond to those of O. E-field reflected vector direction for TM (p) case chosen so that r s = r p at normal incidence.With this convention, a medium with loss is specified with a complex refractive index having a NEGATIVE imaginary part. exponential propagation factor exp(j).The conventions used in the calculator below are: Loss in the film (n2) and final region (n3). ![]() The calculator below can be used to compute the plane wave E-field amplitude complex reflection and transmission coefficients and power reflectance and transmittance values for a 3 region (single film) configuration with arbitrary ![]()
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